5d=17.1
d=17.1÷5
d=3.42
Hopefully this is enough work shown :)
f(x) = tan2(x) + (√3 - 1)[tan(x)] - √3 = 0
tan2(x) + √3[tan(x)] - tan(x) - √3 = 0
Factor into
[-1 + tan(x)]*[√3 + tan(x)] = 0
which means
[-1 + tan(x)] = 0 and/or [√3 + tan(x)] = 0
Then
tan(x) = 1
tan-1(1) = pi/4 radians
For the other equation
[√3 + tan(x)] = 0
tan(x) = -√3
tan-1(-√3) = -pi/3
so that
x = pi/4 or -pi/3 in the interval [0, 2pi]
108/12=9
(You have to divide because you are seeing how many times 12 will go into 108 square feet)
The width of the door is 9 feet!
You can check your answer by multiplying 12 feet times 9 feet.
Your answer will be 108 ft squared! :)
So, the width of the door is 9 feet.
Hope I helped! :)
The 82nd Percentile is 89.784
<h3>How to calculate percentile in statistics?</h3>
The formula n = (P/100) x N, where P is the percentile, N is the number of values in a data collection (ordered from least to largest), and n is the ordinal rank of a particular value, can be used to determine percentiles. In order to comprehend exam scores and biometric measurements, percentiles are routinely utilized.
The values' percentiles as determined by the formula are displayed below.
Percentile Value 0th = 51.7 5th = 68.1 10th = 69.36 15th = 71.24 20th = 72.92 25th = 74.6 30th = 75.86 45th = 80.38 60th = 84.34 65th = 85.38 70th = 87.12 75th = 88.4 80th = 89.4 85th = 90.84 90th = 92.44 95th = 95.2 100th = 100.1
Learn more about percentile here:
brainly.com/question/1561673
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im gonna say like C) 35° if its not that lemme know right away
